Whether Class contains more Boys or Girls?

Question: The average scores of the class for exam are as follow:
Average score of the boys = 90
Average score of the girls = 81
Average score of the class = 84
Find whether Class contains more Boys or Girls?

 

Answer:

Assume that there are B boys and G girls in the Class.
Hence from the given data :
90*B + 81*G = 84*(B+G)
90B + 81G = 84B + 84G
6B = 3G
2B = G
Hence number of Girls in the Class are twice the number of Boys.


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